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122133331221 = 3113701010037
BaseRepresentation
bin111000110111110110…
…1101011110100010101
3102200020200102001202220
41301233231223310111
54000112113044341
6132035101052553
711552402120646
oct1615755536425
9380220361686
10122133331221
1147884099480
121b806257159
13b695175535
145ca87cb6cd
15329c403a66
hex1c6fb6bd15

122133331221 has 8 divisors (see below), whose sum is σ = 177648481824. Its totient is φ = 74020200720.

The previous prime is 122133331211. The next prime is 122133331223.

122133331221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122133331221 - 27 = 122133331093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122133331191 and 122133331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133331223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1850504986 + ... + 1850505051.

It is an arithmetic number, because the mean of its divisors is an integer number (22206060228).

Almost surely, 2122133331221 is an apocalyptic number.

122133331221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122133331221 is a deficient number, since it is larger than the sum of its proper divisors (55515150603).

122133331221 is a wasteful number, since it uses less digits than its factorization.

122133331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701010051.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 122133 and 331221, that added together give a palindrome (453354).

The spelling of 122133331221 in words is "one hundred twenty-two billion, one hundred thirty-three million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 3701010037 11103030111 40711110407 122133331221